Convert the function. f(x)=x^2-4x+5, into vertex form.

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-09-14

Convert the function
f(x)=x24x+5
into vertex form.

Answer & Explanation

funblogC

funblogC

Skilled2021-09-15Added 91 answers

Use the formula:
f(x)=a(xh)2+k
h=2abandk=4acb24a
In our case, a=1 b=-4 c=5
Substitute:
h=2ab=2(1)(4)=2
k=4acb24a=4(5)(4)24=1
Substitute h=2 and k=1 to f(x)=a(xh)2+k:
f(x)=(x2)2+1

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